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Charra [1.4K]
3 years ago
15

C(x) = mx + 500

Mathematics
1 answer:
grin007 [14]3 years ago
6 0

Total cost as the function of shirts is :

C(x) = mx + 500 .

It is given that , The total cost to produce 100 shirts is $800.

800 = 100m + 500

m = 3

So , cost is given by :

C(x) = 3x + 500 .

Now , putting x = 1000 .

We get :

C(x) = 3x + 500

C(x) = 3(1000) + 500

C(x) = $3500

Therefore , cost of producing 1000 shirts is $3500 .

Hence, this is the required solution .

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Write the equation of the line that passes through (-4,3) and is parallel to y = -2x - 8.
kobusy [5.1K]

Answer:

y = -2x - 5

Step-by-step explanation:

Let the equation if the line be y = mx + c

since the line is parallel to y = -2x - 8, their gradients/slope must be the same (aka m = -2)

sub (-4, 3):

3 = -2(-4) + c

c = -5

therefore, the equation of the line is y = -2x - 5

This is a question on coordinate geometry. If you wish to venture further into it/understand this topic better, you may want to follow my Instagram account (learntionary), where I post some of my own notes on certain topics and also some tips that may be useful to you :)

8 0
3 years ago
There are 18 female teachers and 5 male teachers at Ashley's school. What is the ratio of the number of female teachers to the n
elena-14-01-66 [18.8K]

Answer:

The ratio of the number of female teachers to the number of male teachers is 18:5.

Step-by-step explanation:

First: Review how to write a ratio:

To write a ratio, take the two quantities, and put them on both sides of a colon (:). So, our two quantities our 18 and 5. But, they need to be in a specific order:

There are 18 female teachers and 5 male teachers at Ashley's school. What is the ratio of the number of female teachers to the number of male teachers?

Since, they mentioned the number of female teachers first, we put the quantity of female teachers first. So we will write 18 first and 5 after. So, the ratio is 18:5.

Thank you for reading

Topic: Ratios

6 0
3 years ago
Read 2 more answers
Write an inequality for the given graph.
Gekata [30.6K]

Answer:

y

Step-by-step explanation:

<em>Find the equation of the dashed line</em>

The line pass through the points

A(0,-3) -----> is the y-intercept of the line

B(6,0)

Find the slope of the line m

The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

substitute the values

m=\frac{0+3}{6-0}=0.5

Remember that

The equation of the line into slope intercept form is equal to

y=mx+b

we have

m=0.5

b=-3  

substitute

y=0.5x-3

<em>Find the inequality</em>

we know that

The solution of the inequality is the shaded area below the dashed line

so

y

4 0
3 years ago
Find the mean,median,range of 6 6,8,5,4,6,4,3,8,4
SVEN [57.7K]
The numbers in order are
3, 4, 4, 4, 5, 6, 6, 6, 8

The median is the number in the middle, which is 5.
The range is the largest number minus the smallest number, 8 - 3 = 5
The mean is the sum of all the numbers divided by how many number are the in the list, 3 + 4 + 4 + 4 + 5 + 6 + 6 + 6 + 8 = 46, 46/9 = 5.11
8 0
4 years ago
Read 2 more answers
Help! im awful at these problems!!<br> solve the formula: t=v+k/g for g.
Sedbober [7]

Answer:

g = \frac{k}{t-v}

Step-by-step explanation:

Given

t = v + \frac{k}{g}

Multiply through by g to clear the fraction

tg = vg + k ( subtract vg from both sides )

tg - vg = k ← factor out g from each term on the left side

g(t - v) = k ← divide both sides by (t - v)

g = \frac{k}{t-v}

4 0
3 years ago
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